34y=112y+2

Combine 34 and y.

3y4=112y+2

Combine 112 and y.

3y4=y12+2

Subtract y12 from both sides of the equation.

3y4-y12=2

To write 3y4 as a fraction with a common denominator, multiply by 33.

3y4⋅33-y12=2

Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.

Multiply 3y4 and 33.

3y⋅34⋅3-y12=2

Multiply 4 by 3.

3y⋅312-y12=2

3y⋅312-y12=2

Combine the numerators over the common denominator.

3y⋅3-y12=2

Simplify the numerator.

Factor y out of 3y⋅3-y.

Factor y out of 3y⋅3.

y(3⋅3)-y12=2

Factor y out of -y.

y(3⋅3)+y⋅-112=2

Factor y out of y(3⋅3)+y⋅-1.

y(3⋅3-1)12=2

y(3⋅3-1)12=2

Multiply 3 by 3.

y(9-1)12=2

Subtract 1 from 9.

y⋅812=2

y⋅812=2

Cancel the common factor of 8 and 12.

Factor 4 out of y⋅8.

4(y⋅2)12=2

Cancel the common factors.

Factor 4 out of 12.

4(y⋅2)4(3)=2

Cancel the common factor.

4(y⋅2)4⋅3=2

Rewrite the expression.

y⋅23=2

y⋅23=2

y⋅23=2

Move 2 to the left of y.

2y3=2

2y3=2

Multiply both sides of the equation by 32.

32⋅2y3=32⋅2

Simplify 32⋅2y3.

Cancel the common factor of 3.

Cancel the common factor.

32⋅2y3=32⋅2

Rewrite the expression.

12⋅(2y)=32⋅2

12⋅(2y)=32⋅2

Cancel the common factor of 2.

Factor 2 out of 2y.

12⋅(2(y))=32⋅2

Cancel the common factor.

12⋅(2y)=32⋅2

Rewrite the expression.

y=32⋅2

y=32⋅2

y=32⋅2

Cancel the common factor of 2.

Cancel the common factor.

y=32⋅2

Rewrite the expression.

y=3

y=3

y=3

Solve for y 3/4y=1/12y+2